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<div class="subTitle">org.apache.commons.math3.analysis.integration</div>
<h2 title="Class SimpsonIntegrator" class="title">Class SimpsonIntegrator</h2>
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<li><a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html" title="class in org.apache.commons.math3.analysis.integration">org.apache.commons.math3.analysis.integration.BaseAbstractUnivariateIntegrator</a></li>
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<li>org.apache.commons.math3.analysis.integration.SimpsonIntegrator</li>
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<dt>All Implemented Interfaces:</dt>
<dd><a href="../../../../../../org/apache/commons/math3/analysis/integration/UnivariateIntegrator.html" title="interface in org.apache.commons.math3.analysis.integration">UnivariateIntegrator</a></dd>
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<pre>public class <span class="strong">SimpsonIntegrator</span>
extends <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html" title="class in org.apache.commons.math3.analysis.integration">BaseAbstractUnivariateIntegrator</a></pre>
<div class="block">Implements <a href="http://mathworld.wolfram.com/SimpsonsRule.html">
 Simpson's Rule</a> for integration of real univariate functions. For
 reference, see <b>Introduction to Numerical Analysis</b>, ISBN 038795452X,
 chapter 3.
 <p>
 This implementation employs the basic trapezoid rule to calculate Simpson's
 rule.</p></div>
<dl><dt><span class="strong">Since:</span></dt>
  <dd>1.2</dd></dl>
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<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Field and Description</th>
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<td class="colFirst"><code>static int</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/integration/SimpsonIntegrator.html#SIMPSON_MAX_ITERATIONS_COUNT">SIMPSON_MAX_ITERATIONS_COUNT</a></strong></code>
<div class="block">Maximal number of iterations for Simpson.</div>
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<h3>Fields inherited from class&nbsp;org.apache.commons.math3.analysis.integration.<a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html" title="class in org.apache.commons.math3.analysis.integration">BaseAbstractUnivariateIntegrator</a></h3>
<code><a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#DEFAULT_ABSOLUTE_ACCURACY">DEFAULT_ABSOLUTE_ACCURACY</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#DEFAULT_MAX_ITERATIONS_COUNT">DEFAULT_MAX_ITERATIONS_COUNT</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#DEFAULT_MIN_ITERATIONS_COUNT">DEFAULT_MIN_ITERATIONS_COUNT</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#DEFAULT_RELATIVE_ACCURACY">DEFAULT_RELATIVE_ACCURACY</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#iterations">iterations</a></code></li>
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<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/integration/SimpsonIntegrator.html#SimpsonIntegrator()">SimpsonIntegrator</a></strong>()</code>
<div class="block">Construct an integrator with default settings.</div>
</td>
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<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/integration/SimpsonIntegrator.html#SimpsonIntegrator(double,%20double,%20int,%20int)">SimpsonIntegrator</a></strong>(double&nbsp;relativeAccuracy,
                 double&nbsp;absoluteAccuracy,
                 int&nbsp;minimalIterationCount,
                 int&nbsp;maximalIterationCount)</code>
<div class="block">Build a Simpson integrator with given accuracies and iterations counts.</div>
</td>
</tr>
<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/integration/SimpsonIntegrator.html#SimpsonIntegrator(int,%20int)">SimpsonIntegrator</a></strong>(int&nbsp;minimalIterationCount,
                 int&nbsp;maximalIterationCount)</code>
<div class="block">Build a Simpson integrator with given iteration counts.</div>
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<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/integration/SimpsonIntegrator.html#doIntegrate()">doIntegrate</a></strong>()</code>
<div class="block">Method for implementing actual integration algorithms in derived
 classes.</div>
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<h3>Methods inherited from class&nbsp;org.apache.commons.math3.analysis.integration.<a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html" title="class in org.apache.commons.math3.analysis.integration">BaseAbstractUnivariateIntegrator</a></h3>
<code><a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#computeObjectiveValue(double)">computeObjectiveValue</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#getAbsoluteAccuracy()">getAbsoluteAccuracy</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#getEvaluations()">getEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#getIterations()">getIterations</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#getMax()">getMax</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#getMaximalIterationCount()">getMaximalIterationCount</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#getMin()">getMin</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#getMinimalIterationCount()">getMinimalIterationCount</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#getRelativeAccuracy()">getRelativeAccuracy</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#incrementCount()">incrementCount</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#integrate(int,%20org.apache.commons.math3.analysis.UnivariateFunction,%20double,%20double)">integrate</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#setup(int,%20org.apache.commons.math3.analysis.UnivariateFunction,%20double,%20double)">setup</a></code></li>
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<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li>
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<h4>SIMPSON_MAX_ITERATIONS_COUNT</h4>
<pre>public static final&nbsp;int SIMPSON_MAX_ITERATIONS_COUNT</pre>
<div class="block">Maximal number of iterations for Simpson.</div>
<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../constant-values.html#org.apache.commons.math3.analysis.integration.SimpsonIntegrator.SIMPSON_MAX_ITERATIONS_COUNT">Constant Field Values</a></dd></dl>
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<h4>SimpsonIntegrator</h4>
<pre>public&nbsp;SimpsonIntegrator(double&nbsp;relativeAccuracy,
                 double&nbsp;absoluteAccuracy,
                 int&nbsp;minimalIterationCount,
                 int&nbsp;maximalIterationCount)
                  throws <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a>,
                         <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>,
                         <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></pre>
<div class="block">Build a Simpson integrator with given accuracies and iterations counts.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>relativeAccuracy</code> - relative accuracy of the result</dd><dd><code>absoluteAccuracy</code> - absolute accuracy of the result</dd><dd><code>minimalIterationCount</code> - minimum number of iterations</dd><dd><code>maximalIterationCount</code> - maximum number of iterations
 (must be less than or equal to <a href="../../../../../../org/apache/commons/math3/analysis/integration/SimpsonIntegrator.html#SIMPSON_MAX_ITERATIONS_COUNT"><code>SIMPSON_MAX_ITERATIONS_COUNT</code></a>)</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if minimal number of iterations
 is not strictly positive</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if maximal number of iterations
 is lesser than or equal to the minimal number of iterations</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if maximal number of iterations
 is greater than <a href="../../../../../../org/apache/commons/math3/analysis/integration/SimpsonIntegrator.html#SIMPSON_MAX_ITERATIONS_COUNT"><code>SIMPSON_MAX_ITERATIONS_COUNT</code></a></dd></dl>
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<h4>SimpsonIntegrator</h4>
<pre>public&nbsp;SimpsonIntegrator(int&nbsp;minimalIterationCount,
                 int&nbsp;maximalIterationCount)
                  throws <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a>,
                         <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>,
                         <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></pre>
<div class="block">Build a Simpson integrator with given iteration counts.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>minimalIterationCount</code> - minimum number of iterations</dd><dd><code>maximalIterationCount</code> - maximum number of iterations
 (must be less than or equal to <a href="../../../../../../org/apache/commons/math3/analysis/integration/SimpsonIntegrator.html#SIMPSON_MAX_ITERATIONS_COUNT"><code>SIMPSON_MAX_ITERATIONS_COUNT</code></a>)</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if minimal number of iterations
 is not strictly positive</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if maximal number of iterations
 is lesser than or equal to the minimal number of iterations</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if maximal number of iterations
 is greater than <a href="../../../../../../org/apache/commons/math3/analysis/integration/SimpsonIntegrator.html#SIMPSON_MAX_ITERATIONS_COUNT"><code>SIMPSON_MAX_ITERATIONS_COUNT</code></a></dd></dl>
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<h4>SimpsonIntegrator</h4>
<pre>public&nbsp;SimpsonIntegrator()</pre>
<div class="block">Construct an integrator with default settings.
 (max iteration count set to <a href="../../../../../../org/apache/commons/math3/analysis/integration/SimpsonIntegrator.html#SIMPSON_MAX_ITERATIONS_COUNT"><code>SIMPSON_MAX_ITERATIONS_COUNT</code></a>)</div>
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<h4>doIntegrate</h4>
<pre>protected&nbsp;double&nbsp;doIntegrate()
                      throws <a href="../../../../../../org/apache/commons/math3/exception/TooManyEvaluationsException.html" title="class in org.apache.commons.math3.exception">TooManyEvaluationsException</a>,
                             <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<div class="block">Method for implementing actual integration algorithms in derived
 classes.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#doIntegrate()">doIntegrate</a></code>&nbsp;in class&nbsp;<code><a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html" title="class in org.apache.commons.math3.analysis.integration">BaseAbstractUnivariateIntegrator</a></code></dd>
<dt><span class="strong">Returns:</span></dt><dd>the root.</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/TooManyEvaluationsException.html" title="class in org.apache.commons.math3.exception">TooManyEvaluationsException</a></code> - if the maximal number of evaluations
 is exceeded.</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code> - if the maximum iteration count is exceeded
 or the integrator detects convergence problems otherwise</dd></dl>
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